Geodesic
Some properties of the complexification of the KdV equation
Izvestiya. Mathematics , Tome 39 (1992) no. 3, pp. 1251-1261

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An integrable complexification of the hierarchy of the KdV equation is constructed. A countable set of first integrals is found, along with the evolution of the scattering data for the complexification of the KdV equation obtained in [1]. Hirota's method is used to obtain some exact solutions of this equation. A representation of the complexification of the KdV equation as an equation of zero curvature is indicated. 
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     author = {T. V. Red'kina},
     title = {Some properties of the complexification of the {KdV} equation},
     journal = {Izvestiya. Mathematics },
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T. V. Red'kina. Some properties of the complexification of the KdV equation. Izvestiya. Mathematics , Tome 39 (1992) no. 3, pp. 1251-1261. http://geodesic.mathdoc.fr/item/IM2_1992_39_3_a7/